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Finding the Fourth Proportional to 477.69, 659.30 and 312.05

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Solution

The fourth proportional to 477.69, 659.30 and 312.05 is: 430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.69 : 659.30 = 312.05 : x
  2. Step 2: Convert to fraction form
    477.69/659.30 = 312.05/x
  3. Step 3: Cross multiply
    477.69x = 659.30 × 312.05
  4. Step 4: Simplify right side
    477.69x = 205,732.05
  5. Step 5: Solve for x
    x = 205,732.05/477.69
  6. Step 6: Final answer
    x = 430.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.